Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues.
|Translated title of the contribution||Action of Hecke operators on Siegel theta series II|
|Number of pages||28|
|Journal||International Journal of Number Theory|
|Publication status||Accepted/In press - 2007|